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Finding the Fourth Proportional to 95.25, 142.75 and 83.01

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Solution

The fourth proportional to 95.25, 142.75 and 83.01 is: 124.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.25 : 142.75 = 83.01 : x
  2. Step 2: Convert to fraction form
    95.25/142.75 = 83.01/x
  3. Step 3: Cross multiply
    95.25x = 142.75 × 83.01
  4. Step 4: Simplify right side
    95.25x = 11,849.68
  5. Step 5: Solve for x
    x = 11,849.68/95.25
  6. Step 6: Final answer
    x = 124.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.